{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import qutip\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['XZXZXZYI',\n",
       " 'XZXZYIXZ',\n",
       " 'XZYIXZXZ',\n",
       " 'XZYIYIYI',\n",
       " 'YIXZXZXZ',\n",
       " 'YIXZYIYI',\n",
       " 'YIYIXZYI',\n",
       " 'YIYIYIXZ']"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "terms = [''.join(_) for _ in itertools.product(['XZ', 'YI'], repeat=4)]\n",
    "[term for term in terms if term.count('I') % 2 == 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "terms = ['YIXZ\\nXZXZ', 'YIXZ\\nYIYI', 'YIYI\\nXZYI', 'YIYI\\nYIXZ',\n",
    "         'XZXZ\\nXZXZ', 'XZXZ\\nYIYI', 'XZYI\\nXZYI', 'XZYI\\nYIXZ',\n",
    "         'YIXZ\\nXZYI', 'YIXZ\\nYIXZ', 'YIYI\\nXZXZ', 'YIYI\\nYIYI',\n",
    "         'XZXZ\\nXZYI', 'XZXZ\\nYIXZ', 'XZYI\\nXZXZ', 'XZYI\\nYIYI']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "pauli_to_matrix = {'I': qutip.identity(2),\n",
    "                   'X': qutip.sigmax(),\n",
    "                   'Y': qutip.sigmay(),\n",
    "                   'Z': qutip.sigmaz()}\n",
    "\n",
    "\n",
    "def commutes(term1, term2):\n",
    "    term1 = [char for char in term1 if char != '\\n']\n",
    "    term2 = [char for char in term2 if char != '\\n']\n",
    "    term1_matrices = [pauli_to_matrix[pauli] for pauli in term1]\n",
    "    term2_matrices = [pauli_to_matrix[pauli] for pauli in term2]\n",
    "    return qutip.commutator(qutip.tensor(*term1_matrices), qutip.tensor(*term2_matrices)).norm() == 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.Graph()\n",
    "node_color = []\n",
    "for term in terms:\n",
    "    if term in ['XZXZ\\nXZXZ', 'XZXZ\\nYIYI', 'XZYI\\nXZYI', 'XZYI\\nYIXZ', 'YIXZ\\nXZYI', 'YIXZ\\nYIXZ', 'YIYI\\nXZXZ', 'YIYI\\nYIYI']:\n",
    "        node_color.append('green')\n",
    "    else:\n",
    "        node_color.append('orange')\n",
    "    G.add_node(term)\n",
    "\n",
    "colors = []\n",
    "for i in range(len(terms)):\n",
    "    for j in range(i + 1, len(terms)):\n",
    "        if commutes(terms[i], terms[j]):\n",
    "            G.add_edge(terms[i], terms[j], color='b')\n",
    "            colors.append('#d95b59')\n",
    "                \n",
    "nx.draw(G, pos=nx.circular_layout(G), with_labels=True, font_family=\"Times\", font_size=13.5,\n",
    "        node_color=node_color, node_size=1930, edge_color=colors)\n",
    "ax = plt.gca() # to get the current axis\n",
    "ax.collections[0].set_edgecolor(\"#000000\") \n",
    "plt.savefig(\"BK_pqrs_term.svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
